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Finding the Third Proportional to 189,891 and 285,452

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Solution

The third proportional to 189,891 and 285,452 is: 429,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891 : 285,452 = 285,452 : x
  2. Step 2: Convert to fraction form
    189,891/285,452 = 285,452/x
  3. Step 3: Cross multiply
    189,891x = 285,452 × 285,452
  4. Step 4: Simplify right side
    189,891x = 81,482,844,304
  5. Step 5: Solve for x
    x = 81,482,844,304/189,891
  6. Step 6: Final answer
    x = 429,103.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.